中图分类号：
02.30.Ik
{{custom_clc.code}}
({{custom_clc.text}})
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] M. J. Ablowitz, SIAM. Rev. (1977) 663.
[2] V. B. Matveev and M. A. Salle, Darboux Transformation and Solitons, Springer, Berlin (1991).
[3] P. J. Olver, Applications of Lie Groups to Differential Equations, GTM 107, 2nd ed. Springer, New York (1993).
[4] W. X. Ma, Phys. Lett. A (2002) 35.
[5] S. Y. Lou, J. Math. Phys. 41(2000) 6509; X. Y. Tang and S. Y. Lou, Chin. Phys. Lett. 19(2002) 1.
[6] Y. Chen and Z. Z. Dong, Nonlinear Anal. 71(2009) 810.
[7] S. H. Meng, L. Xu, and L. Chen, J. Syst. Sci. Infor. (2016) 258.
[8] L. Wang and S. C. Guo, J. Syst. Sci. Infor. (2016) 560.
[9] X. Lü, Chaos (2013) 033137.
[10] S. F. Tian and H. Q. Zhang, Stud. Appl. Math. (2013) 212.
[11] X. Y. Wen and Z. Yan, Commun. Nonlinear Sci. Numer. Simulat. (2017) 311.
[12] B. Ren, Phys. Scr. (2015) 065206.
[13] M. J. Ablowitz, B. Prinari, and A.D. Trubatch, Discrete and Continuous Nonlinear Schrödinger Systems, Cambridge University Press, Cambridge (2004).
[14] X. Y. Wen, Z. Y. Yan, and B. A. Malomed, Chaos (2016) 013105.
[15] G. F. Yu and Z. W. Xu, Phys. Rev. E (2015) 062902.
[16] G. F. Yu, Stud. Appl. Math. (2015) 117.
[17] H. M. Li, B. Li, and Y. Q. Li, J. Math. Phys. 53(2012) 043506.
[18] D. Levi and P. Wintemitz, Phys. Lett. A (1991) 335.
[19] D. Levi and P. Winternitz, J. Math. Phys. (1993) 3713.
[20] G. R. W. Quispel, H. W. Capel, and R. Sahadevan, Phys. Lett. A (1992) 379.
[21] Z. H. Jiang, Phys. Lett. A (1998) 137.
[22] Z. H. Jiang, J. Math. Anal. Appl. (1998) 396.
[23] W. Ding and X. Y. Tang, Commun. Theor. Phys. (2004) 645.
[24] S. F. Shen, Z.L. Pan, and J. Zhang, Commun. Theor. Phys. (2004) 805.
[25] B. K. Harrison and F. B. Estabrook, J. Math. Phys. (1971) 653.
[26] B. K. Harrison, SIGMA (2005) 001.
[27] D. S. Wang and Y. B. Yin, Comput. Math. Appl. (2016) 748.
[28] H. J. Li, D. S. Wang, S. K. Wang, K. Wu, and W. Z. Zhao, Phys. Lett. A (2008) 5878.
[29] A. Connes, Noncommutative Geometry, Academic Press, New York (1994)
[30] H. Y. Guo, K. Wu, and W. Zhang, Commun. Theor. Phys. (2000) 245.
[31] K. Wu, W. Z. Zhao, and H. Y. Guo, Sci. China Ser. A:Math. (2006) 1458.
[32] N. Lv, J. Q. Mei, and H. Q. Zhang, Int. J. Geom. Meth. Mod. Phys. (2012) 1220014.
[33] Q. Ding and S. F. Tian, Rep. Math. Phys. (2014) 323.
[34] X. Y. Jia and N. Wang, Chin. Phys. Lett. (2009) 1.
[35] D. Levi and O. Ragnisco, J. Phys. A (1991) 1729.
[36] Y. Q. Bai, K. Wu, H. Y. Guo, and W. Z. Zhao, Commun. Theor. Phys. (2007) 591.
[37] J. Patera and P. Winternitz, J. Math. Phys. (1977) 1449.
[38] L. V. Ovsiannikov, Group Analysis of Differential Equations, Nauka, Moscow (1978); English Translation by W. F. Ames, ed., Published by Academic Press, New York (1982).
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
基金
Supported by National Natural Science Foundation of China under Grant Nos. 11375030, 11472315, and Department of Science and Technology of Henan Province under Grant No. 162300410223 and Beijing Finance Funds of Natural Science Program for Excellent Talents under Grant No. 2014000026833ZK19
{{custom_fund}}
PDF(129 KB)
